338443456 has 112 divisors (see below), whose sum is σ = 761695200. Its totient is φ = 149001216.

The previous prime is 338443453. The next prime is 338443471. The reversal of 338443456 is 654344833.

It is a super-2 number, since 2×338443456² = 229087945818447872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338443453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4077591 + ... + 4077673.

It is an arithmetic number, because the mean of its divisors is an integer number (6800850).

Almost surely, 2^338443456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380847600).

338443456 is an abundant number, since it is smaller than the sum of its proper divisors (423251744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338443456 is an equidigital number, since it uses as much as digits as its factorization.

338443456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its digits is 414720, while the sum is 40.

The square root of 338443456 is about 18396.8327708875. The cubic root of 338443456 is about 696.8864821746.

The spelling of 338443456 in words is "three hundred thirty-eight million, four hundred forty-three thousand, four hundred fifty-six".